Finding the Third Proportional to 30,216 and 65,454

Step by Step Solution

1. Step 1: Write the proportion equation
   30,216 : 65,454 = 65,454 : x
2. Step 2: Convert to fraction form
   30,216/65,454 = 65,454/x
3. Step 3: Cross multiply
   30,216x = 65,454 × 65,454
4. Step 4: Simplify right side
   30,216x = 4,284,226,116
5. Step 5: Solve for x
   x = 4,284,226,116/30,216
6. Step 6: Final answer
   x = 141,786.67